What is the Greatest Common Factor of 98224 and 98238?

Greatest common factor (GCF) of 98224 and 98238 is 14.

GCF(98224,98238) = 14

We will now calculate the prime factors of 98224 and 98238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98224 and 98238.

How to find the GCF of 98224 and 98238?

We will first find the prime factorization of 98224 and 98238. After we will calculate the factors of 98224 and 98238 and find the biggest common factor number .

Step-1: Prime Factorization of 98224

Prime factors of 98224 are 2, 7, 877. Prime factorization of 98224 in exponential form is:

98224 = 2⁴ × 7¹ × 877¹

Step-2: Prime Factorization of 98238

Prime factors of 98238 are 2, 3, 7, 2339. Prime factorization of 98238 in exponential form is:

98238 = 2¹ × 3¹ × 7¹ × 2339¹

Step-3: Factors of 98224

List of positive integer factors of 98224 that divides 98224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 877, 1754, 3508, 6139, 7016, 12278, 14032, 24556, 49112

Step-4: Factors of 98238

List of positive integer factors of 98238 that divides 98224 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2339, 4678, 7017, 14034, 16373, 32746, 49119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98224 and 98238. The biggest common factor number is the GCF number.
So the greatest common factor 98224 and 98238 is 14.

Also check out the Least Common Multiple of 98224 and 98238